Rationale
1,601, when rounded to the nearest thousand, results in 2,000.
When rounding to the nearest thousand, any integer from 1,500 to 2,499 would be rounded to 2,000. This is because the halfway point between 1,000 and 2,000 is 1,500, and the halfway point between 2,000 and 3,000 is 2,500. Any number equal to or above the halfway point is rounded up, and any number below the halfway point is rounded down.
A) 2,567
The integer 2,567, when rounded to the nearest thousand, results in 3,000 and not 2,000. This is because 2,567 is above the halfway point of 2,500 between 2,000 and 3,000.
B) 1,499
The integer 1,499, when rounded to the nearest thousand, results in 1,000 and not 2,000. This is because 1,499 is below the halfway point of 1,500 between 1,000 and 2,000.
C) 1,097
The integer 1,097, when rounded to the nearest thousand, results in 1,000 and not 2,000. This is because 1,097 is below the halfway point of 1,500 between 1,000 and 2,000.
D) 1,601
The integer 1,601, when rounded to the nearest thousand, results in 2,000. This is because 1,601 is above the halfway point of 1,500 between 1,000 and 2,000.
Conclusion
When rounding to the nearest thousand, any number from 1,500 to 2,499 will be rounded to 2,000. In this set of choices, only the integer 1,601 falls within that range and thus is the only number that will be rounded to 2,000. The other choices (2,567, 1,499, and 1,097) will be rounded to 3,000 and 1,000, respectively, as they fall outside the 1,500 to 2,499 range.
